find the constant of variation for each direct variation.
10y=13x
and
f(x)=4.5x
and
x+y=0
Put each one in the form of y=a*x and solve for a.
In the first, it is 1.3
If needed, I can check your work on the other two.
To find the constant of variation for each direct variation, we will rearrange the equations in the form "y = kx" or "f(x) = kx", where "k" represents the constant of variation.
1. For the equation 10y = 13x:
Divide both sides by 10: y = (13/10)x.
The constant of variation is k = 13/10.
2. For the equation f(x) = 4.5x:
Comparing it with the form "f(x) = kx", we see that k = 4.5.
3. For the equation x + y = 0:
Rewrite it as y = -x.
The constant of variation is k = -1.
In summary:
- For the equation 10y = 13x, the constant of variation is k = 13/10.
- For the equation f(x) = 4.5x, the constant of variation is k = 4.5.
- For the equation x + y = 0, the constant of variation is k = -1.